math help

What is 50/8 - 8/10?

What is 50/8 - 8/10?

Here's how to subtract 8/10 from 50/8:

50
8
8
10

Step 1

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 50 by 10, and get 500.

Then we multiply 8 by 8, and get 64.

Next we give both terms new denominators -- 8 × 10 = 80.

So now our fractions look like this:

500
80
64
80

Step 2

Since our denominators match, we can subtract the numerators.

500 − 64 = 436

So the answer is:

436
80

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

436
80
÷ 2 =
218
40

Let's try dividing by 2 again...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

218
40
÷ 2 =
109
20

Let's try dividing by 2 again...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

Nope! So now we try the next greatest prime number, 17...

Nope! So now we try the next greatest prime number, 19...

Nope! So now we try the next greatest prime number, 23...

No good. 23 is larger than 20. So we're done reducing.

There you have it! The final answer is:
50
8
8
10
=
109
20